Triangle ABC has vertices a(5,6) B(8,4) and C(5,1). The triangle is reflected around the X axis, and then around the Y axis to create triangle A’B’C’. What is the x-coordinate of vertex B
When a point is reflected around the x-axis, the y-coordinate is negated. So, the new coordinates for the vertices after reflection around the x-axis are:
- A'(5,-6)
- B'(8,-4)
- C'(5,-1)
When a point is reflected around the y-axis, the x-coordinate is negated. So, the new coordinates for the vertices after reflection around the y-axis are:
- A'(-5,-6)
- B'(-8,-4)
- C'(-5,-1)
So, the x-coordinate of vertex B' is -8.